# Pythagorean theorem

# Pythagorean Theorem

Geometry is a very broad field of mathematics composed of a wide range of tools that can be used for problem solving.

In this module, you are going to research 3 examples of the implementation of geometry that would employ the use of the Pythagorean Theorem as a problem-solving tool.

The examples you find can come from

**several different fields of study**and applications such as**construction, city planning, highway maintenance, art, architecture, and communications, to name a few**.The examples you find must clearly demonstrate the use of the Pythagorean Theorem as a tool. Your textbook—Chapter 10, “Modeling with Geometry”—would be a good reference to consult for some examples illustrating the use of the Pythagorean Theorem in applied situations.

For each example you share in your post, address the following:

**Demonstrate the use of the Pythagorean Theorem in the solution of this problem.****How is the Pythagorean Theorem applied to help solve this problem in this application?****Why would the Pythagorean Theorem be applied instead of employing some other mathematical tool?****What tools, unique to this application, would be necessary to get the measurements needed to apply the Pythagorean Theorem?****Are there other geometrical concepts that are necessary to know in order to solve this problem?****Are there any modern tools that help solve this kind of problem that either provide a work around, or that rely heavily upon, the Pythagorean Theorem?**

When constructing your response, consider the theories, examples, and concepts discussed in your readings this module, and refer to them to support your conclusions.

Write your initial response in a minimum of 200 words. Apply APA standards to citation of sources.

Review the postings of your peers and respond to at least two of them. Consider commenting on the following:

**What other geometrical tools do you feel are necessary to understand in order to solve the examples provided besides the Pythagorean Theorem?****Do you think we would have the technology that we have today without knowledge of mathematical problem-solving tools such as the Pythagorean Theorem? Explain.**